Exhaust Diameter Calculator
Use the engine's RPM and cylinder's volume to calculate the exhaust diameter of your vehicle.
The formula
Q = VNη/2; A = Q/v; D = √(4A/π)
Sized by velocity, not guesswork
A four-stroke engine ingests its displacement once every two revolutions, so the volume flow is displacement times rpm over two, corrected for volumetric efficiency. The exhaust is far hotter and has expanded in proportion to absolute temperature — typically threefold — which is why exhaust pipes are larger than intake runners on the same engine.
Choosing a target gas velocity around 75 m/s fixes the area, and the diameter follows. Because diameter goes as the square root of flow it changes slowly: a ten percent rpm increase needs under five percent more diameter.
Oversizing costs torque
A pipe that is too large drops the gas velocity and destroys the scavenging effect, where the departing pulse from one cylinder helps pull the next one clear. That is the physical reason a huge exhaust hurts low-end torque rather than helping, and why sizing is done on velocity rather than on flow capacity alone.
This is steady-flow sizing. Real exhaust leaves in discrete slugs, and tuned-length systems exploit the pressure waves they create, so treat the answer as a starting diameter rather than a finished design.